GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Jun 2019, 08:44

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Suzie’s Discount Footwear sells all pairs of shoes for one price and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55630
Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 27 Jul 2016, 01:47
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

92% (02:37) correct 8% (04:25) wrong based on 56 sessions

HideShow timer Statistics

Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00

_________________
Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 587
Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post Updated on: 29 Jul 2016, 00:57
2
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00




Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- -
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option B is correct answer.

OA plesae...will correct if I missed anything.

Originally posted by msk0657 on 27 Jul 2016, 03:37.
Last edited by msk0657 on 29 Jul 2016, 00:57, edited 2 times in total.
Current Student
User avatar
Joined: 18 Oct 2014
Posts: 830
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 27 Jul 2016, 13:41
1
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00


22S+16B= 650
8S+32B= 760

Solving above two equations we get:-
S=15
B=20

And the difference is 5

B is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+
Intern
Intern
avatar
B
Joined: 27 Jul 2016
Posts: 8
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 27 Jul 2016, 22:18
1
msk0657 wrote:
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00




Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- -
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option C is correct answer.

OA plesae...will correct if I missed anything.


The answer is indeed 5 but the option is B
Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 587
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 29 Jul 2016, 00:58
ABHISHEK8998 wrote:
msk0657 wrote:
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00




Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- -
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option C is correct answer.

OA plesae...will correct if I missed anything.


The answer is indeed 5 but the option is B


Thanks..I edited the option...:)
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 06 Mar 2018, 11:27
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00


We can let h and b = the price per pair of shoes and boots, respectively, and create the equations:

22h + 16b = 650

11h + 8b = 325 (Eq. 1)

and

8h + 32b = 760

h + 4b = 95 (Eq. 2)

Multiplying Eq. 2 by -2 we have:

-2h - 8b = -190 (Eq. 3)

Adding Eq. 1 and Eq. 3 we have:

9h = 135

h = 15

Substituting h = 15 into Eq. 2 we have:

15 + 4b = 95

4b = 80

b = 20

Thus a pair of boots costs 20 - 15 = 5 dollars more than a pair of shoes.

Answer: B
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and   [#permalink] 06 Mar 2018, 11:27
Display posts from previous: Sort by

Suzie’s Discount Footwear sells all pairs of shoes for one price and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne